6. [12 Points] Suppose that f, g, f' and g' are continuous. State whether the following statements are True or False. (a) If f'(x) = g'(x) then f(x) = g(x) for all x. (b) an So f (r) dr = 0. (c) If f_ f(x)dx = 0 then f(x) = 0 for all r E [-1, 1). (d) S2 g(2x) dx = \\ f4 g(x)dr